Prime numbers of the form [n^c tan^θ(log n)]

2021/10/22 by S. I. Dimitrov, Dimitrov, S. I.
Mathematics · #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2110.11687

openalex publication_date 2021/10/22 · openalex created_date 2021/11/08 · openalex updated_date 2026/07/28

Abstract

Let [ ⋅ ] be the floor function. In the present paper we prove that when 11 is a fixed, then there exist infinitely many prime numbers of the form [n^c tan^θ(log n)].

Citations

• Nombres premiers de la forme ⌊nc⌋
• Prime Numbers in Short Intervals and a Generalized Vaughan Identity

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• Some arithmetic properties of numbers of the form \lfloor p^c\rfloor
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